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Simplifying x2y + -3y2 = 38 Solving x2y + -3y2 = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. x2y + -3y2 + 3y2 = 38 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x2y + 0 = 38 + 3y2 x2y = 38 + 3y2 Divide each side by 'y'. x2 = 38y-1 + 3y Simplifying x2 = 38y-1 + 3y Reorder the terms: x2 + -38y-1 + -3y = 38y-1 + -38y-1 + 3y + -3y Combine like terms: 38y-1 + -38y-1 = 0 x2 + -38y-1 + -3y = 0 + 3y + -3y x2 + -38y-1 + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 x2 + -38y-1 + -3y = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -38 + -3y2) = 0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x2y + -38 + -3y2)' equal to zero and attempt to solve: Simplifying x2y + -38 + -3y2 = 0 Reorder the terms: -38 + x2y + -3y2 = 0 Solving -38 + x2y + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + x2y + 38 + -3y2 = 0 + 38 Reorder the terms: -38 + 38 + x2y + -3y2 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + x2y + -3y2 = 0 + 38 x2y + -3y2 = 0 + 38 Combine like terms: 0 + 38 = 38 x2y + -3y2 = 38 Add '3y2' to each side of the equation. x2y + -3y2 + 3y2 = 38 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x2y + 0 = 38 + 3y2 x2y = 38 + 3y2 Divide each side by 'y'. x2 = 38y-1 + 3y Simplifying x2 = 38y-1 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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